Foundations of quantum group theory

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Mathematics - Algebra
Foundations of quantum group theory

Foundations of quantum group theory

Name: Foundations of quantum group theory
ISBN: 9780521648684

Shahn Majid

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This is a graduate-level text that systematically develops the foundations of the subject. Quantum groups (i.e. Hopf algebras) are treated as mathematical objects in their own right; basic properties and theorems are proven in detail from this standpoint, including the results underlying key applications. After formal definitions and basic theory, the book goes on to cover such topics as quantum enveloping algebras, matrix quantum groups, combinatorics, cross products of various kinds, the quantum double, the semiclassical theory of Poisson-Lie groups, the representation theory, braided groups and applications to q-deformed physics. The explicit proofs and a great many worked examples and exercises will allow readers to quickly pick up the techniques needed for working in this exciting new field.

Категории:

Mathematics - Algebra

Год:

1995

Издательство:

Cambridge University Press

Язык:

english

Страницы:

625

ISBN 10:

0521648688